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On Absolutely Norm attaining Operators

Published 8 Jan 2018 in math.SP and math.FA | (1801.02432v1)

Abstract: We give necessary and sufficient conditions for a bounded operator defined between complex Hilbert spaces to be absolutely norm attaining. We discuss structure of such operators in the case of self-adjoint and normal operators separately. Finally, we discuss several properties of absolutely norm attaining operators.

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